Search a number
-
+
21313123213041 = 32111571137036329
BaseRepresentation
bin1001101100010010110010…
…01000110101111011110001
32210110111220012110020212100
410312021121020311323301
510243143234020304131
6113155040313451013
74326552030123522
oct466113110657361
983414805406770
1021313123213041
116877932470440
122482761a10a69
13bb7a8516039a
145397bc686849
1526e60ae4a7e6
hex136259235ef1

21313123213041 has 24 divisors (see below), whose sum is σ = 33605693278560. Its totient is φ = 12908822097600.

The previous prime is 21313123213037. The next prime is 21313123213139. The reversal of 21313123213041 is 14031232131312.

21313123213041 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 31 + 2 + 321 + 304 + 1 = 666.

It is not a de Polignac number, because 21313123213041 - 22 = 21313123213037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21313123212996 and 21313123213014.

It is not an unprimeable number, because it can be changed into a prime (21313123213141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68362636 + ... + 68673693.

It is an arithmetic number, because the mean of its divisors is an integer number (1400237219940).

Almost surely, 221313123213041 is an apocalyptic number.

It is an amenable number.

21313123213041 is a deficient number, since it is larger than the sum of its proper divisors (12292570065519).

21313123213041 is a wasteful number, since it uses less digits than its factorization.

21313123213041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137037917 (or 137037914 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 21313123213041 its reverse (14031232131312), we get a palindrome (35344355344353).

The spelling of 21313123213041 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twenty-three million, two hundred thirteen thousand, forty-one".

Divisors: 1 3 9 11 33 99 1571 4713 14139 17281 51843 155529 137036329 411108987 1233326961 1507399619 4522198857 13566596571 215284072859 645852218577 1937556655731 2368124801449 7104374404347 21313123213041